Department of Mathematics  
Seminars  
Address: Mathematics
25337
 Caltech  Pasadena, CA 91125
Telephone: (626) 3954335  Fax: (626) 5851728 
Project MATHEMATICS!  Caltech Home 
Mathematics
Colloquium
2013  2014 
Tuesday,
October 29, 2013 4:00 p.m. // 151 Sloan Manjul Bhargava (Princeton University) Rational points on elliptic and hyperelliptic curves Abstract: Given a random elliptic or hyperelliptic curve of genus g over Q, how many rational points do we expect the curve to have? (Or, in more elementary terms: how often do we expect a random integer polynomial of degree n to take a square value?) In this talk, we give an overview of recent conjectures and theorems giving some answers and partial answers tothis question.

